380907072 has 336 divisors, whose sum is σ = 1383141760. Its totient is φ = 98122752.

The previous prime is 380907011. The next prime is 380907073. The reversal of 380907072 is 270709083.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×380907072² = 290180394999226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (380907073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8858283 + ... + 8858325.

Almost surely, 2^380907072 is an apocalyptic number.

380907072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691570880).

380907072 is an abundant number, since it is smaller than the sum of its proper divisors (1002234688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380907072 is a wasteful number, since it uses less digits than its factorization.

380907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 380907072 is about 19516.8407279457. The cubic root of 380907072 is about 724.8915078242.

The spelling of 380907072 in words is "three hundred eighty million, nine hundred seven thousand, seventy-two".